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Finding the Fourth Proportional to 2,288.17, 3,158.54 and 1,405.17

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Solution

The fourth proportional to 2,288.17, 3,158.54 and 1,405.17 is: 1,939.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.17 : 3,158.54 = 1,405.17 : x
  2. Step 2: Convert to fraction form
    2,288.17/3,158.54 = 1,405.17/x
  3. Step 3: Cross multiply
    2,288.17x = 3,158.54 × 1,405.17
  4. Step 4: Simplify right side
    2,288.17x = 4,438,285.65
  5. Step 5: Solve for x
    x = 4,438,285.65/2,288.17
  6. Step 6: Final answer
    x = 1,939.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.